Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.5b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.0b
(+ (* a c) (* b d))
28.0b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-+ flip-+
3×pow1 associate-/r* associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 53
Calls
3 calls:
4.0ms
(+ (* c c) (* d d))
5.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* c c) (* d d))
33.0ms
(+ (* a c) (* b d))
86.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify136.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0272527
11164479
24451477
35003477

prune181.0ms

Filtered
62 candidates to 49 candidates (79.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New521062
Fresh000
Picked101
Done000
Total531063

Merged error: 27.8b

Counts
63 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
14.6b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.4b
(sqrt (+ (* c c) (* d d)))
31.4b
(sqrt (+ (* c c) (* d d)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 160
Calls
4 calls:
27.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
10.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
113.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
38.0ms
(sqrt (+ (* c c) (* d d)))
45.0ms
(sqrt (+ (* c c) (* d d)))

simplify82.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05672505
132822242
250012117

prune396.0ms

Filtered
172 candidates to 113 candidates (65.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1675172
Fresh279
Picked011
Done000
Total16913182

Merged error: 26.0b

Counts
182 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a c) (* b d))
0.0b
(+ (* c c) (* d d))
0.5b
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
27.6b
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×+-commutative rec-exp frac-2neg 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 137
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
4.0ms
(+ (* c c) (* d d))
12.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
8.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* a c) (* b d))
28.0ms
(+ (* c c) (* d d))
141.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
52.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify74.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05181821
126321656
250011569

prune255.0ms

Filtered
149 candidates to 85 candidates (57.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1481149
Fresh11011
Picked011
Done011
Total14913162

Merged error: 26.0b

Counts
162 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(/ 1 (* (+ (* c c) (* d d)) (/ 1 (+ (* a c) (* b d)))))
0.7b
(/ 1 (+ (* a c) (* b d)))
27.3b
(* (+ (* c c) (* d d)) (/ 1 (+ (* a c) (* b d))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp associate-/r/
7×flip3-+ flip-+
6×cbrt-undiv associate-/l* add-log-exp
4×frac-times associate-*l/ associate-/r* cbrt-unprod
3×pow-flip associate-*l* div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×+-commutative sum-log *-commutative
Counts
4 → 130
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
12.0ms
(/ 1 (* (+ (* c c) (* d d)) (/ 1 (+ (* a c) (* b d)))))
5.0ms
(/ 1 (+ (* a c) (* b d)))
12.0ms
(* (+ (* c c) (* d d)) (/ 1 (+ (* a c) (* b d))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* c c) (* d d))
142.0ms
(/ 1 (* (+ (* c c) (* d d)) (/ 1 (+ (* a c) (* b d)))))
28.0ms
(/ 1 (+ (* a c) (* b d)))
56.0ms
(* (+ (* c c) (* d d)) (/ 1 (+ (* a c) (* b d))))

simplify68.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04821240
125941034
25001994

prune217.0ms

Filtered
142 candidates to 78 candidates (54.9%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh01010
Picked011
Done022
Total14213155

Merged error: 26.0b

Counts
155 → 13

regimes264.0ms

Accuracy

25.7% (2.3b remaining)

Error of 25.6b against oracle of 23.3b and baseline of 26.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02827
12827

end0.0ms

sample539.0ms

Algorithm
intervals
Results
315.0ms8502×body80valid

Profiling

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